


Paper's Title:
Solving Strongly Nonlinear Fractional Fredholm IntegralDifferential Equations in Caputo's Sense Using the SBA Method
Author(s):
Germain Kabore^{1}, Bakari Abbo^{2}, Ousseni So^{3} and Blaise Some^{1}
^{1}Laboratoire
d'Analyse Numerique, Informatique et de Biomathmathiques (L.N.I.BIO),
Universite Joseph KiZerbo,
Burkina Faso.
Email: germainkabore982@gmail.com,
blaisesomeouaga1@gmail.com
^{2}University
of N'Damena, Tchad.
Email: bakariabbo@yahoo.fr
^{3}Laboratoire
d'Analyse Numerique, Informatique et de Biomathemathiques (L.N.I.BIO),
Ecole Normale Superieure,
Burkina Faso.
Email: sousseni@yahoo.fr
Abstract:
The work addressed in this article consists in constructing the exact solutions, where they exist, of fractional Fredholmtype integrodifferential equations in the sense of Caputo. Our results are obtained using the SBA method. The simplification of the approach, the analysis of its convergence, and the generalization of this method to these types of highly nonlinear equations constitute our scientific contribution.
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